Cool explanation. Thanks! I've written a polygon mesh 3D boolean operation tool for my 3D software, and I'm always looking for new insights related to the field that might help me improve it.
Thanks for watching and for the request! Some lessons on chromatic polynomials are in the works, I've got to do a bit more studying myself though, so they won't be out for a little longer.
Thanks for watching and for the question! I might do a quick lesson on both statements. Like you said, if A, B, and C are sets, and A is a subset of B, then C - B is indeed a subset of C - A. The converse is, for sets A, B, and C, if C-B is a subset of C-A then A is a subset of B. This statement is not true because C-B being a subset of C-A, basically just means that B has more elements of C than A does. But it does not forbid A from having a bunch of other elements that C doesn't have. So B could equal C, for example, in which case C-B is the empty set and is thus certainly a subset of C-A, and A could be anything at all - it doesn't have to be a subset of B. Does that make sense?
Thank you! If you are looking for more graph theory, check out my graph theory playlist: ruclips.net/p/PLztBpqftvzxXBhbYxoaZJmnZF6AUQr1mH Let me know if you ever have any questions!
Correct, that's what I say in the video, but not at first. First I use the wrong definition of a region, to illustrate this common error in the definition and why the definition should be slightly different.
I have discrete exam tommorow and you have no idea you just saved my life God bless u sir🙏🙏
Good luck!
How'd the discrete exam go?
Those outros are so intense 😮
Cool explanation. Thanks! I've written a polygon mesh 3D boolean operation tool for my 3D software, and I'm always looking for new insights related to the field that might help me improve it.
That's awesome! Thanks for watching and good luck with your work~
This is second handshaking lemma.
watched NPTEL IISER PURE GRAPH THEORY LECTURES on this.
You saved me, thanks for the video!!
Could you do a lesson on Chromatic Polynomials perhaps?
Thanks for watching and for the request! Some lessons on chromatic polynomials are in the works, I've got to do a bit more studying myself though, so they won't be out for a little longer.
Thank you!!!
You're very welcome! Thank you for the donation!
I have a doubt from sets:
Given that if A is a subset of B, then C-B is a subset of C-A. Is the reverse proof true?
Thanks for watching and for the question! I might do a quick lesson on both statements. Like you said, if A, B, and C are sets, and A is a subset of B, then C - B is indeed a subset of C - A.
The converse is, for sets A, B, and C, if C-B is a subset of C-A then A is a subset of B. This statement is not true because C-B being a subset of C-A, basically just means that B has more elements of C than A does. But it does not forbid A from having a bunch of other elements that C doesn't have. So B could equal C, for example, in which case C-B is the empty set and is thus certainly a subset of C-A, and A could be anything at all - it doesn't have to be a subset of B. Does that make sense?
@@WrathofMath Thank you sir
Great explanation.
Thank you! If you are looking for more graph theory, check out my graph theory playlist: ruclips.net/p/PLztBpqftvzxXBhbYxoaZJmnZF6AUQr1mH
Let me know if you ever have any questions!
#Excelent!
shouldn't the deg(r2) = 6?
Correct, that's what I say in the video, but not at first. First I use the wrong definition of a region, to illustrate this common error in the definition and why the definition should be slightly different.